Paper Citation Record · LEDGER

Boundary-layer asymptotics for Gaussian-smoothed singular measures

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2607.04514.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.04514 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T18:14:05.684669Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:51:02.093631Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

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unresolved24
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External citation measurements

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Outbound references

Observation f81dfb6d-579c-4fe5-9348-04a553c07a65 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8beb011c-c432-404f-8ba6-8c4e97886da6 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Unavailable: canonical work link unavailable.

Observation 58cc4cc8-a535-4cf5-93d4-2061639b5619 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 3808b5a5-9ead-421f-8761-07c4104c6e55 · outbound

This paper cites ProofPutx=φ(θ)for someθ∈Θout.

Boundary-layer asymptotics for Gaussian-smoothed singular measures ProofPutx=φ(θ)for someθ∈Θout

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 30fe7de8-0675-431e-a561-c3bbd1e1ad16 · outbound

This paper cites Moreover, all mixed derivatives ∂β θ∂γ ξM(θ,ξ) with|β|+|γ|⩽r+ 1, and all mixed derivatives ∂β θ∂γ ξ∆(θ,ξ) with|β|+|γ|⩽r, are uniformly bounded on Θ◦ out×(Hm c ∩Bm 4R).

Boundary-layer asymptotics for Gaussian-smoothed singular measures Moreover, all mixed derivatives ∂β θ∂γ ξM(θ,ξ) with|β|+|γ|⩽r+ 1, and all mixed derivatives ∂β θ∂γ ξ∆(θ,ξ) with|β|+|γ|⩽r, are uniformly bounded on Θ◦ out×(Hm c ∩Bm 4R)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

Source-reported events for the cited work

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Observation 67a75ce3-3001-42ae-b4e9-67f83a7190c2 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9a24c17-28c6-4207-a4ea-15f0ada9fbaa · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation f0aba98a-0fef-414d-937c-8d7271f89b08 · outbound

This paper cites ThenJis jointlyC r in (θ,ξ), all mixed derivatives ∂β θ∂γ ξJ(θ,ξ),|β|+|γ|⩽r, are uniformly bounded onΘ◦ out×(Hm c ∩Bm 4R), andJ(θ,0) =|detL(θ)|.

Boundary-layer asymptotics for Gaussian-smoothed singular measures ThenJis jointlyC r in (θ,ξ), all mixed derivatives ∂β θ∂γ ξJ(θ,ξ),|β|+|γ|⩽r, are uniformly bounded onΘ◦ out×(Hm c ∩Bm 4R), andJ(θ,0) =|detL(θ)|

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation d0302379-9d10-4b3a-9c71-f33a42957fd1 · outbound

This paper cites ProofChoose an open setΘ ◦ out such thatΘKS⊂Θ◦ out ⋐Θ out.

Boundary-layer asymptotics for Gaussian-smoothed singular measures ProofChoose an open setΘ ◦ out such thatΘKS⊂Θ◦ out ⋐Θ out

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation af927182-4cc2-4ab1-9159-4104ef681a52 · outbound

This paper cites 45 Brosse and Dalalyan.

Boundary-layer asymptotics for Gaussian-smoothed singular measures 45 Brosse and Dalalyan

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 37041e07-3ff6-488c-a412-a2742c3e6223 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 57865d4a-280f-4e85-90e7-731cd30162c1 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 8666a45f-4618-46f2-b026-7d18dcc00bcf · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 97cb7352-2ed4-44a9-bf70-0596aa430350 · outbound

This paper cites Moreover,ω⩾ω′entails that Eω ℓ⊂Eω′ ℓ⊂Bℓ.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Moreover,ω⩾ω′entails that Eω ℓ⊂Eω′ ℓ⊂Bℓ

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Unavailable: canonical work link unavailable.

Observation fa3a99b8-1d24-4e08-bbc7-90198430f576 · outbound

This paper cites Then the product functionsBE,BPand BGsatisfy BE∈Eω ℓ, BP∈P ℓ, BG∈G ℓ.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Then the product functionsBE,BPand BGsatisfy BE∈Eω ℓ, BP∈P ℓ, BG∈G ℓ

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 769ce182-c5e0-47ac-90e7-9192251dfd4a · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Unavailable: canonical work link unavailable.

Observation 9c314cf0-c627-499c-8425-9a0a296dfcb6 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Unavailable: canonical work link unavailable.

Observation 463246d9-9c48-43d7-8f6b-9deed34e39a3 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3953825-ed76-4248-80c2-a018de310c76 · outbound

This paper cites (a) IfB= (B 1,...,Bq), withBi∈Bℓ, and the range ofBonD A,KS,σ0 is contained in a compact setKψ⋐Ω, thenψ◦B∈Bℓ.

Boundary-layer asymptotics for Gaussian-smoothed singular measures (a) IfB= (B 1,...,Bq), withBi∈Bℓ, and the range ofBonD A,KS,σ0 is contained in a compact setKψ⋐Ω, thenψ◦B∈Bℓ

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 699c98b6-6202-4016-be77-5f474bea325b · outbound

This paper cites Ifq∈N, then σqB∈Bℓ, σ qE∈Eω ℓ, σ qP∈Pℓ, σ qG∈Gℓ.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Ifq∈N, then σqB∈Bℓ, σ qE∈Eω ℓ, σ qP∈Pℓ, σ qG∈Gℓ

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Unavailable: canonical work link unavailable.

Observation 4e0dbf94-fab4-4bb3-aecc-8b480b0618fd · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Unavailable: canonical work link unavailable.

Observation 13c336ab-10b2-44af-97d1-40cbf77e2ae6 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 600842d7-c354-48e2-a192-9bdac22f4f64 · outbound

This paper cites an unresolved cited work.

Boundary-layer asymptotics for Gaussian-smoothed singular measures Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Observation 8f233569-72a4-4bfd-b142-6289ab20a0b1 · outbound

This paper cites ProofLet us writeM θ(·) =M(θ,·).

Boundary-layer asymptotics for Gaussian-smoothed singular measures ProofLet us writeM θ(·) =M(θ,·)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T18:14:05.684669Z

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Pith citing papers

Observation 0b199273-e792-4241-a299-e1f4abe5ee02 · inbound

Asymptotic Preservation and Uniform Accuracy of Diffusion and Flow-Matching Samplers cites this paper.

Asymptotic Preservation and Uniform Accuracy of Diffusion and Flow-Matching Samplers Boundary-layer asymptotics for Gaussian-smoothed singular measures

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-02T08:51:02.093631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.